Solution: x? -6x+5=0
(x-5)(x- 1)=0
x 1=5,x2= 1
(2)y? +3y-2=0
Solution: (y-3/2)? =2+(3/2)?
y-3/2= √ 17/2
y= √ 17/2+3/2
y=( √ 17+3)/2
y 1=(√ 17+3)/2,y2=(-√ 17+3)/2
(3) a? =6a- 1
Solution: a? -6a+ 1=0
(a-3)? =8
a-3= 2√2
a= 2√2+3
a 1=2√2+3,a2=-2√2+3
(4)x? -4x+3=0
Solution: (x-3)(x- 1)=0.
x 1=3,x2= 1
Matching method for solving equations
x? -5=2√3x
Solution: x? -2√3x-5=0
(x-√3)? =8
x-√3= 2√2
x= 2√2+√3
x 1=2√2+√3,x2=-2√2+√3
π(r+5)? =2πr?
Solution: (r+5)? =2r?
r? + 10r+25-2r? =0
-r? + 10r+25=0
r? - 10r-25=0
(r-5)? =50
r-5 = 50%
r= √50+5
r 1=√50+5,r2=-√50+5
I hope you can adopt it. If you have any questions, you can ask.
First, Liaoning Normal University, School of Politics and Administration, Professional Settings
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